Q24 of 181 Page 1073

Find the volume of the parallelepiped whose edges are represented by the vectors and

The volume of parallelepiped

= (- 3).(- 1) - 2.4).3 - (2.(- 1) - 1.4).(- 2) + (2.2 - 1.(- 3)).

= (3 - 8).3 + (- 2 - 4).2 + (4 - (- 3)).2

= - 15 - 12 + 14

= - 27 + 14

= - 13

Volume of parallelepiped

Find the value of λ when the vectors and are parallel.

Write the value of

If and then prove that and are coplanar.

If and are such that then find the values of λ and μ.